Search a number
-
+
12012232200 = 2335220020387
BaseRepresentation
bin10110010111111110…
…00001111000001000
31011000011010121202220
423023333001320020
5144100112412300
65303543454040
7603450201063
oct131377017010
934004117686
1012012232200
115104656931
1223b2a57320
131195858407
1481d4c38da
154a4889da0
hex2cbfc1e08

12012232200 has 48 divisors (see below), whose sum is σ = 37237921680. Its totient is φ = 3203261760.

The previous prime is 12012232159. The next prime is 12012232229. The reversal of 12012232200 is 223221021.

It is a happy number.

12012232200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12012232200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10009594 + ... + 10010793.

It is an arithmetic number, because the mean of its divisors is an integer number (775790035).

Almost surely, 212012232200 is an apocalyptic number.

12012232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012232200 is an abundant number, since it is smaller than the sum of its proper divisors (25225689480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12012232200 is a wasteful number, since it uses less digits than its factorization.

12012232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20020406 (or 20020397 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12012232200 its reverse (223221021), we get a palindrome (12235453221).

The spelling of 12012232200 in words is "twelve billion, twelve million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20020387 40040774 60061161 80081548 100101935 120122322 160163096 200203870 240244644 300305805 400407740 480489288 500509675 600611610 800815480 1001019350 1201223220 1501529025 2002038700 2402446440 3003058050 4004077400 6006116100 12012232200